A robustification of independent component analysis

被引:43
作者
Brys, G
Hubert, M
Rousseeuw, PJ
机构
[1] Katholieke Univ Leuven, UCS, Dept Math, B-3001 Louvain, Belgium
[2] Univ Antwerp, Fac Appl Econ, B-2000 Antwerp, Belgium
[3] Univ Antwerp, Dept Math & Comp Sci, B-2020 Antwerp, Belgium
关键词
ICA; FASTICA; adjusted boxplot; adjusted outlyingness; skewness;
D O I
10.1002/cem.940
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Independent component analysis (ICA) is a statistical method for transforming multivariate data to components that are as independent of each other as possible. In recent years, several algorithms were proposed that perform well in many situations. But when the data contain outliers, these methods may lead to wrong conclusions. Here we robustify the well-known FASTICA method by adding an outlier rejection rule, which does not assume elliptical symmetry. This modification is supported by simulations and real-data examples. Copyright (C) 2006 John Wiley & Sons, Ltd.
引用
收藏
页码:364 / 375
页数:12
相关论文
共 26 条
[1]  
[Anonymous], 2002, Adaptive Blind Signal and Image Processing: Learning Algorithms and Applications
[2]  
[Anonymous], 1987, ROBUST REGRESSION OU
[3]   Normal inverse Gaussian distributions and stochastic volatility modelling [J].
BarndorffNielsen, OE .
SCANDINAVIAN JOURNAL OF STATISTICS, 1997, 24 (01) :1-13
[4]   CuBICA: Independent component analysis by simultaneous third- and fourth-order cumulant diagonalization [J].
Blaschke, T ;
Wiskott, L .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2004, 52 (05) :1250-1256
[5]   A robust measure of skewness [J].
Brys, G ;
Hubert, M ;
Struyf, A .
JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 2004, 13 (04) :996-1017
[6]   Robust measures of tail weight [J].
Brys, G ;
Hubert, M ;
Struyf, A .
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2006, 50 (03) :733-759
[7]  
BRYS G, 2004, 18 U ANTW FAC APPL E
[8]   Application of independent component analysis to 1H MR spectroscopic imaging exams of brain tumours [J].
de Edelenyi, FS ;
Simonetti, AW ;
Postma, G ;
Huo, R ;
Buydens, LMC .
ANALYTICA CHIMICA ACTA, 2005, 544 (1-2) :36-46
[9]   Fetal electrocardiogram extraction by blind source subspace separation [J].
De Lathauwer, L ;
De Moor, B ;
Vandewalle, O .
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 2000, 47 (05) :567-572
[10]  
De Lathauwer L, 2000, J CHEMOMETR, V14, P123, DOI 10.1002/1099-128X(200005/06)14:3<123::AID-CEM589>3.0.CO